ARCHITECTURE

MATH CONVENTION 2015

APPLICATIONS

OFPOLYNOMIALSIN

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INTRODUCTION ABOUT POLYNOMIAL FUNCTIONS

The degree of a polynomial is the highest power of x in its expression. Constant (non-zero) polynomials, linear polynomials, quadratics, cubics and quartics are polynomials of degree 0, 1, 2, 3, and 4 respectively. The function f(x)=0 is also a polynomial, but we say that its degree is ‘undefined’.

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• Architecture

The art of or science of designing and creating infrastructure.

• Engineering

The work of designing and creating large structures (Such as roads and bridges) or new products or systems by using scientific methods.

APPLICATION OF POLYNOMIAL FUNCTIONS

Application of Polynomial Function Architects use math in several areas in design and construction.

They use Polynomial functions to create arcs through the graph of the polynomial functions We Love Math!

• Corlie, Kenneth, Jockey and Arnold enjoy Mary Rose’s roller coaster. Corlie notices that it resembles a graph of a polynomial function way back in their high school days.

1. The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the coaster can be determined by h(t) = 0.3T3-5T2+21T, where t is time in seconds and h is the height in feet. Classify it by degree and number of terms.

2. Find the height of the coaster at t=0 seconds. Explain why this answer makes sense.

PROBLEM

3. Find the height of the coaster at 9 seconds.

4. Evaluate h(60). Does this answer makes sense in real life? (mt. Everest is 29, 028 ft tall) We Love Math!

solution

1. Degree is three2. 0.3(0)3-5(0)2+21(0) = 0 ft3. 0.3(9)3-5(9)2+21(9) = 2.7

ft4. 0.3(60)3-5(60)2+21(60) =

48 060 ftIt is not realistic in real life. No roller coaster has ever surpass the height of Mt. Everest. (29 028 ft)

SOLUTION

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WRAP-UP

Aerospace Engineers*acceleration of a rocket or jetAstronomers*distance of stars and planets from the Earth

In Management, Health Care, Forestry, Electronics, and in Production.

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REFERENCES

Gemberling, T. (2013). Chapter 6 project updated Polynomials. Retrieved from http://tohsgemberling.weebly.com/uploads/2/3/0/6/23066082/2013.14_alg_2cp_chapter_6_project_updated_polynomials_-_roller_coaster.pdf

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THANK YOU FOR LISTENING!WE HOPE BY NOW,

YOU’RE ABLE TO:

CONNECT POLYNOMIAL FUNCTIONS INTO THE REAL WORLD.